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Finding the Fourth Proportional to 18,566.82, 27,852.30 and 6,083.28

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Solution

The fourth proportional to 18,566.82, 27,852.30 and 6,083.28 is: 9,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.82 : 27,852.30 = 6,083.28 : x
  2. Step 2: Convert to fraction form
    18,566.82/27,852.30 = 6,083.28/x
  3. Step 3: Cross multiply
    18,566.82x = 27,852.30 × 6,083.28
  4. Step 4: Simplify right side
    18,566.82x = 169,433,339.54
  5. Step 5: Solve for x
    x = 169,433,339.54/18,566.82
  6. Step 6: Final answer
    x = 9,125.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.